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Padé Approximation and its Applications Amsterdam 1980 pp 197–207Cite as

Multipoint Padé approximants converging to functions of Stieltjes' type

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 888))

Abstract

A function of Stieltjes type can be written \(f(z) = \int\limits_a^b {\frac{{d\alpha (t)}}{{z - t}}}\) where a,b are extended real numbers and α(t) is a bounded, non-decreasing real function. In recent years some people have studied the convergence of Padé approximants to such functions. In this paper we show the geometric convergence to f for multipoint Padé approximants.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Umeå, S-901 87, Umeå, Sweden

    J. K. Gelfgren

Authors
  1. J. K. Gelfgren
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Editor information

M. G. de Bruin H. van Rossum

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© 1981 Srpinger-Verlag

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Gelfgren, J.K. (1981). Multipoint Padé approximants converging to functions of Stieltjes' type. In: de Bruin, M.G., van Rossum, H. (eds) Padé Approximation and its Applications Amsterdam 1980. Lecture Notes in Mathematics, vol 888. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0095586

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  • DOI: https://doi.org/10.1007/BFb0095586

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11154-2

  • Online ISBN: 978-3-540-38606-3

  • eBook Packages: Springer Book Archive

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